Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

Velichka Milousheva; Nurettin Cenk Turgay

doi:10.1016/j.geomphys.2016.03.023

Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

Velichka Milousheva^*, Nurettin Cenk Turgay

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.

Original language	English
Pages (from-to)	171-183
Number of pages	13
Journal	Journal of Geometry and Physics
Volume	106
DOIs	https://doi.org/10.1016/j.geomphys.2016.03.023
Publication status	Published - 1 Aug 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Funding

The first author is partially supported by the National Science Fund, Ministry of Education and Science of Bulgaria under contract DFNI-I 02/14. The second author is supported by TÜBİTAK (Project Name: Y_EUCL2TIP, Project Number: 114F199).

Funders	Funder number
Bulgarian National Science Fund
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu	114F199
Ministry of Education and Science	DFNI-I 02/14

Keywords

Finite type Gauss map
Lorentz surface
Parallel mean curvature vector field
Pseudo-Euclidean space
Quasi-minimal surface

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10.1016/j.geomphys.2016.03.023

Cite this

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title = "Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space",

abstract = "A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.",

keywords = "Finite type Gauss map, Lorentz surface, Parallel mean curvature vector field, Pseudo-Euclidean space, Quasi-minimal surface",

author = "Velichka Milousheva and Turgay, \{Nurettin Cenk\}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

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day = "1",

doi = "10.1016/j.geomphys.2016.03.023",

language = "English",

volume = "106",

pages = "171--183",

journal = "Journal of Geometry and Physics",

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T1 - Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

AU - Milousheva, Velichka

AU - Turgay, Nurettin Cenk

PY - 2016/8/1

Y1 - 2016/8/1

N2 - A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.

AB - A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.

KW - Finite type Gauss map

KW - Lorentz surface

KW - Parallel mean curvature vector field

KW - Pseudo-Euclidean space

KW - Quasi-minimal surface

UR - https://www.scopus.com/pages/publications/84962787680

U2 - 10.1016/j.geomphys.2016.03.023

DO - 10.1016/j.geomphys.2016.03.023

M3 - Article

AN - SCOPUS:84962787680

SN - 0393-0440

VL - 106

SP - 171

EP - 183

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

Abstract

Bibliographical note

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Keywords

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